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S and T are point on sides PR and QR of ΔPQR such that ∠P = ∠RTS. Show that ΔRPQ ~ ΔRTS. Q.5

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What is the best way to solve the problem of Triangles of exercise 6.3 of class 10th math, how i solve this problem S and T are point on sides PR and QR of ΔPQR such that ∠P = ∠RTS. Show that ΔRPQ ~ ΔRTS.

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  1. Given, S and T are point on sides PR and QR of ΔPQR

    And ∠P = ∠RTS.

    Ncert solutions class 10 chapter 6-18

    In ΔRPQ and ΔRTS,

    ∠RTS = ∠QPS (Given)

    ∠R = ∠R (Common angle)

    ∴ ΔRPQ ~ ΔRTS (AA similarity criterion)

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